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   <title>fft2 :: Functions (Quaternion Toolbox Function Reference)
</title><link rel="stylesheet" href="qtfmstyle.css" type="text/css"></head><body><h1>Quaternion Function Reference</h1><h2>fft2</h2>
<p>Fast Fourier transform<br>(Quaternion overloading of standard MATLAB&reg; function)
</p>
<h2>Syntax</h2><p><tt>Y = fft2(X)</tt></p>
<h2>Description</h2>
<p>
<tt>fft2(X)</tt> computes the Fast Fourier Transform of the quaternion
matrix <tt>X</tt> using a default axis and left-handed transform. See
the related function <tt>qfft2</tt> which permits control over the axis
and handedness.
</p>
<p>
The axis chosen is a complex (biquaternion) axis if <tt>X</tt> is
complex, otherwise the axis is a (real) quaternion.
</p>
<p>
The <tt>N</tt> and <tt>dim</tt> parameters of the overloaded
MATLAB&reg; function are not yet implemented, but may be implemented at a
later date.
</p>

<h2>See Also</h2>MATLAB&reg; function: <a href="matlab:doc fft2">fft2</a><br>QTFM functions: <a href="fft.html">fft</a>, <a href="ifft2.html">ifft2</a>, <a href="qfft2.html">qfft2</a><br>
<h2>References</h2><ol><li>Ell, T. A. and Sangwine, S. J.,
'Hypercomplex Fourier Transforms of Color Images',
<i>IEEE Transactions on Image Processing</i>, <b>16</b>,
(1), January 2007, 22-35. 
DOI: <a href="http://dx.doi.org/10.1109/TIP.2006.884955">10.1109/TIP.2006.884955</a>.
</li><li>Salem Said, Nicolas Le Bihan, and Stephen J. Sangwine,
'Fast complexified quaternion Fourier transform',
<i>IEEE Transactions on Signal Processing</i>, <b>56</b>,
(4), April 2008, 1522-1531.

DOI: <a href="http://dx.doi.org/10.1109/TSP.2007.910477">10.1109/TSP.2007.910477</a>.
</li></ol>
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